Moments of Ioffe time parton distribution functions from non-local matrix elements

Karpie, Joseph (0000 0001 1940 3051, Department of Physics, The College of William & Mary, Williamsburg, VA, 23187, U.S.A.) (0000 0001 2236 1964, Thomas Jefferson National Accelerator Facility, Newport News, VA, 23606, U.S.A.) ; Orginos, Kostas (0000 0001 1940 3051, Department of Physics, The College of William & Mary, Williamsburg, VA, 23187, U.S.A.) (0000 0001 2236 1964, Thomas Jefferson National Accelerator Facility, Newport News, VA, 23606, U.S.A.) ; Zafeiropoulos, Savvas (0000 0001 2190 4373, Institute for Theoretical Physics, Heidelberg University, Philosophenweg 12, 69120, Heidelberg, Germany)

29 November 2018

Abstract: We examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the M S ¯ $$ \overline{MS} $$ scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.


Published in: JHEP 1811 (2018) 178
Published by: Springer/SISSA
DOI: 10.1007/JHEP11(2018)178
arXiv: 1807.10933
License: CC-BY-4.0



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